Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 414, 808, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 808, 649 is 1
GCD(414, 808, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 808, 649 is 1
GCD(414, 808, 649) = 1
Given Input numbers are 414, 808, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 414, 808, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 808, 649 is 1.
Therefore, GCD of numbers 414, 808, 649 is 1
Given Input Data is 414, 808, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 649 is 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(414, 808) = 167256
GCD(414, 808) = ( 414 x 808 ) / 167256
GCD(414, 808) = 334512 / 167256
GCD(414, 808) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 649) = 1298
GCD(2, 649) = ( 2 x 649 ) / 1298
GCD(2, 649) = 1298 / 1298
GCD(2, 649) = 1
GCD of 414, 808, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 808, 649?
GCD of 414, 808, 649 is 1
2. Where do I get the detailed procedure to find GCD of 414, 808, 649?
You can find a detailed procedure to find GCD of 414, 808, 649 on our page.
3. How to find GCD of 414, 808, 649 on a calculator?
You can find the GCD of 414, 808, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.